11
1 Scope & Sequence Algebra I DARUL ARQAM Revised 5/2017 1 st Quarter (43 Days) Resources: Week Unit/Lesson Learning Objectives Reporting Categories ( TEKS SEs) 1 st : Aug 9-11 (3 days) Introduction and Review 2nd: Aug 14-18 (5 days) Ch.: 1 / Lessons 1-1, 1-2 Use the commutative, associative, and distributive properties in simplifying algebraic expressions and equations. (A.4.B) Model the distributive property and combining like terms with and without Algebra tiles. (A.1.D) Readiness Standard(S): A.1.D represent relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equation, and inequalities. A.4.A find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations. 3rd: Aug 21-25 (5 days) Ch.: 1 / Lessons 1-3, 1-4, & 1-5 Solve two-step and multi-step equations in one variable with and without Algebra tiles. (A.4.A) Write expressions/equations representing geometric properties – including perimeter and triangle sum. (A.1.C) Use a variety of symbols or variables (for example, h to represent hours – not always x and y). (A.3.A) Use variables, expressions, and equations to express generalizations of patterns found in verbal descriptions and / or models. (A.1.C). Supporting Standard(S): A.1.C describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situation A.3.A use symbols to represent unknowns and variables A.4.B use the commutative, associative, and distributive properties to simplify algebraic expressions. 4th: Aug 28- 30 (3 days) Ch.: 2 / Lessons 2-1, 2-2, 2-3, Solve equations in one variable that contain variables on both sides with and without Algebra tiles. (A.4.A) Solve an equation in two or more variables (including formulas) for a given variable. (A.4.A) Include problems with one solution, infinitely many solutions, and no solution. (A.4.A) Write equations representing perimeter and triangle sum.( A.1.C). Readiness Standard(s): A.4.A find specific function values, simplify polynomial expressions, transform and solve equations and factor as necessary in problem situations. 4 th continued : Sep 6- 8 (3 days) Ch.: 2 / Lessons 2-4, 2-5 Write equations for problem situations. (A.1.C) Use variables to represent unknowns in problem situations (A.3.A) Supporting Standard(s): A.1.C describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations A.3.A use symbols to represent unknowns and variables.

8th Algebra I Scope & Sequence (2017-18)

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Page 1: 8th Algebra I Scope & Sequence (2017-18)

1

Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

1stQuarter(43Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)1st:Aug9-11(3days)

IntroductionandReview

2nd:Aug14-18(5days)

Ch.:1/Lessons1-1,1-2

Usethecommutative,associative,anddistributivepropertiesinsimplifyingalgebraicexpressionsandequations.(A.4.B)ModelthedistributivepropertyandcombiningliketermswithandwithoutAlgebratiles.(A.1.D)

ReadinessStandard(S):A.1.Drepresentrelationshipsamongquantitiesusing[concrete]models,tables,graphs,diagrams,verbaldescriptions,equation,andinequalities.A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituations.

3rd:Aug21-25(5days)

Ch.:1/Lessons1-3,1-4,&1-5 Solvetwo-stepandmulti-stepequationsinonevariablewithandwithoutAlgebratiles.(A.4.A)Writeexpressions/equationsrepresentinggeometricproperties–includingperimeterandtrianglesum.(A.1.C)Useavarietyofsymbolsorvariables(forexample,htorepresenthours–notalwaysxandy).(A.3.A)Usevariables,expressions,andequationstoexpressgeneralizationsofpatternsfoundinverbaldescriptionsand/ormodels.(A.1.C).

SupportingStandard(S):A.1.CdescribefunctionalrelationshipsforgivenproblemsituationsandwriteequationsorinequalitiestoanswerquestionsarisingfromthesituationA.3.AusesymbolstorepresentunknownsandvariablesA.4.Busethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions.

4th:Aug28-30(3days)

Ch.:2/Lessons2-1,2-2,2-3, SolveequationsinonevariablethatcontainvariablesonbothsideswithandwithoutAlgebratiles.(A.4.A)Solveanequationintwoormorevariables(includingformulas)foragivenvariable.(A.4.A)Includeproblemswithonesolution,infinitelymanysolutions,andnosolution.(A.4.A)Writeequationsrepresentingperimeterandtrianglesum.(A.1.C).

ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequationsandfactorasnecessaryinproblemsituations.

4thcontinued

:Sep6-8(3days)

Ch.:2/Lessons2-4,2-5

Writeequationsforproblemsituations.(A.1.C)Usevariablestorepresentunknownsinproblemsituations(A.3.A)

SupportingStandard(s):A.1.CdescribefunctionalrelationshipsforgivenproblemsituationsandwriteequationsorinequalitiestoanswerquestionsarisingfromthesituationsA.3.Ausesymbolstorepresentunknownsandvariables.

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

5th:Sept11-15(5days)

Ch:5/Lessons5-1,5-2,5-3

Representrelationshipsusinginequalitiesandgraphsinonevariable(A.1.D)Writeandgraphcompoundinequalitiesfor“and”statements(A.1.C).

ReadinessStandard(s):A.1.Drepresentrelationshipsamongquantitiesusing[concrete]models,tables,graphs,diagrams,verbaldescriptions,equations,andinequalities

6th:Sept18-22(5days)

Lessons5-4,5-5,5-6

Solveandgraphtwo-stepandmulti-stepinequalitiesinonevariableincludinginequalitieswithvariablesonbothsides(A.4.A)Writeinequalitiesforproblemsituations(A.1.C)Determinereasonablenessofsolutionstoinequalities.(A.4.A)

A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituationSupportingStandard(s):A.1.Cdescribefunctionalrelationshipsforgivenproblemsituationsandwriteequationsorinequalitiestoanswerquestionsarisingfromthesituation

7th:Sept25-29(5days)

Ch:1/Lessons1-6,1-7,1-8

Determinereasonabledomainandrangevaluesforbothcontinuousanddiscretedatainrealworldsituations.(A.2.B)Createverbaldescriptionsofsituationsfromagraphthatmatchcriticalattributesofthegraph.(A.2.C)Interpretagraphincludingcriticalattributesofagivenproblemsituation.(A.2.C)Determineifarelationisafunctiongivenagraph,table,mappingdiagram,orsetoforderedpairs.(A.1.B)Relatefunctionalrelationshipstorealworldsituations.(A.1.C)Interpretandmakepredictionsgivenafunctionalrelationship.(A.1.E)Relatedomain(x)tohorizontalaxisandrange(y)toverticalaxis.(A.2.B)Determinedomainandrangevaluesfromgraphs,tables,mappingdiagramsandverbaldescriptionsofrealworldsituations(useinequalitynotationwhenappropriate).(A.2.B)

ReadinessStandard(s):A.1.Einterpretandmakedecisions,predictions,andcriticaljudgmentsfromfunctionalrelationshipsA.2.Bidentifymathematicaldomainsandrangesanddeterminereasonabledomainandrangevaluesforgivensituations,bothcontinuousanddiscreet.SupportingStandard(s):A.1.BgatherandrecorddataandusedatasetstodeterminefunctionalrelationshipsbetweenquantitiesA.1.CdescribefunctionalrelationshipsforgivenproblemsituationsandwriteequationsorinequalitiestoanswerquestionsarisingfromthesituationA.2.Cinterpretsituationsintermsofgivengraphsorcreatesituationsthatfitgivengraphs

8th:Oct2-6(5days)

Ch:3/Lessons3-1,3-2,3-3 Usemodelstorepresentpatterns(A.1.D)Identifytermsgivenanarithmeticsequence(A.3.B)Findaformulaforthenthtermofanarithmeticsequence(A.3.B)Representpatternsusingequations(A.3.B)Explainwhatthevariablesrepresentinaproblemsituation(A.3.A)

ReadinessStandard(s):A.1.Drepresentrelationshipsamongquantitiesusing[concrete]models,tables,graphs,diagrams,verbaldescriptions,equations,andinequalitiesA.1.Einterpretandmakedecisions,predictions,andcriticaljudgmentsfromfunctionalrelationshipsA.2.Bidentifymathematicaldomainsandrangesand

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

Identifyanddescribeindependentanddependentquantities(A.1.A)Evaluateafunctioninfunctionnotationforgiveninput/outputvalues(A.4.A)Connectfunctionnotationtoy=mx+b.(A.4.C)Usetables,graphs,verbaldescriptions,concretemodels,diagramsandequationstorelatedependentandindependentquantities(A.1.D)

determinereasonabledomainandrangevaluesforgivensituations,bothcontinuousanddiscreteA.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituations.

9th:Oct10-13(4days)

Lessons3-4,3-5,3-6

Connectthemeaningofapointasfoundinanorderedpair,table,graph,andasusedinanequation.(A.1.D)Match,describe,and/orgeneratevariousviews(i.e.table,graph,verbal)ofafunction.(A.1.D)Identifythedomainandrangeofrelationshipsrepresentedinatable,graph,equation,verbaldescription,andsetnotation(A.2.B)Givenaproblemsituation,writeanequationorinequalitytoanswerquestion(A.1.C)Answerquestionsandmakepredictionsbasedonmultiplerepresentations:verbal,tabular,graphical,model,and/orsymbolic(A.1.E)

SupportingStandard(s):A.1.AdescribeindependentanddependentquantitiesinfunctionalrelationshipsA.1.CdescribefunctionalrelationshipsforgivenproblemsituationsandwriteequationsorinequalitiestoanswerquestionsarisingfromthesituationsA.3.AusesymbolstorepresentunknownsandvariablesA.3.BlookforpatternsandrepresentgeneralizationsalgebraicallyA.4.Cconnectequationnotationwithfunctionnotation,suchasy=x+1andf(x)=x+1

2ndQuarter(41Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)

1st:Oct16-19(4days)

Ch:2&Ch:3/resourcematerials Determineifafunctionislinearfromgraphs,tables,orderedpairs,equations,andverbaldescription(A.5.A)Identifytheequationofthelinearparentfunction(A.2.A)Graphthelinearparentfunction(A.2.A)Usethepatternoffinitedifferencesinatableofvaluestodevelopthenumericalconceptofdeterminingslope–includeundefinedandzeroslope(A.6.A)Determinetherateofchangeinaproblemorproblemsituationbyfindingtheratioofthedifferenceofyanddifferenceofx(A.6.A)Statetherateofchange/slopeintermsoftheunitsusedintheproblemsituation(A.6.B)Relateandmakeconnectionsbetweentherateofchangeinapattern,tableofvalues,expression,and/orsituation

ReadinessStandard(s):A.8.Bsolvesystemsoflinearequationsusing[concrete]models,graphs,tables,andalgebraicmodels.

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

2ndQuarter(41Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)totheslopeofagraph(A.5.C)Makeconnectionsamongalgebraic,tabular,graphical,orverbaldescriptionsoflinearfunctions(A.5.C)Usetheslopeformulatofindslopegivenagraph,atable,ororderedpairs(A.6.A)

2nd:Oct23-27(6days)

Findthex-andy-interceptsofagraphgivenagraph,table,oralgebraicequation(A.6.E)Findthezerosoflinearfunctionsgivenagraph,tableoralgebraicequation(A.6.E)Graphlinesusingx-andy-intercepts(A.6.E)Connectx-andy-interceptswithslopebycountingrise/runbetweentheintercepts(A.6.A)Interpretthemeaningsoftheslopeandinterceptsinreal-worldsituations(A.6.B)Determineandinterpretthedomainandrangeforrealworldsituations(A.5.B)

SupportingStandard(s):A.8.Aanalyzesituationsandformulatesystemsoflinearequationsintwounknownstosolveproblems

3rd:Oct30-Nov3(5days)

Ch:3/lesson3-4 Solveproblemsinvolvingdirectvariation(A.6.G)Understandthesignificanceoftheinterceptindirectvariationsituations(A.6.G)Compareandcontrasty=kxandy=mx+b(A.6.G)Relatealinearfunctiontoitsparentfunction(A.2.A)

A.8.Cinterpretanddeterminethereasonablenessofsolutionstosystemsoflinearequations.

4th:Nov6-10(5days)

Ch:4/Lessons4-1/4-2

Graphalinegivenanequationinslope-interceptform(A.6.D)Relatethesteepnessofalinewithitsslope(includeintegers,fractions,anddecimals)(A.6.B)Show,relate,andunderstandthechangesinthegraphtocorrespondingchangesinslopeandy-intercepttothealgebraicequation(A.6.C)Interpretandpredicttheeffectsofchangingslopeandy-interceptinappliedsituation.(A.6F)Whenchangingtheslope(i.e.doublingorhalving),determinetheeffectsonthex-andy-intercepts(A.6.C)Writelinearequationsforproblemsituations(A.7.A)Writelinearequationsinslope-intercept,andstandardformsgivenslopeandy-intercept,x-interceptandy-intercept,twopoints,orslopeandapoint(A.6.D)Solvearealworldproblemalgebraicallyorgraphically

ReadinessStandard(s):

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

2ndQuarter(41Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)(A.7.A)Relatethealgebraic,graphical,andtabularsolutions(A.7.B)Identifythereasonabledomainandrangeoflinearfunctionsinarealworldsituation(A.5.B)

5th:Nov13-17(5days)

Ch:4/Lesson4-3,4-4

Writelinearequationsinpoint-slopeformgivenx-interceptandy-intercept,twopoints,orslopeandapoint.(A.6.D)Writelinearequationsforproblemsituations.(A.7.A)Graphalinegivenanequationinpoint-slopeform.(A.6.D)Solvearealworldproblemalgebraicallyorgraphically.(A.7.A)Relatethealgebraic,graphical,andtabularrepresentations.(A.5.C)Giventheequations(notlimitedtoslope-interceptform)oftwolines,determineifthetwolinesareparallel,perpendicular,coincidingorneither.(A.6.C)Showthatafigureinacoordinateplaneisaparallelogram,righttriangleorrectanglebyshowingthesidesareparallelorperpendicular.(A.6.A)Writeequationsoflinesthroughagivenpointandparallel/perpendiculartoagivenpoint.(A.6.D)Transformequationsfromoneformtoanother.(A.4.A)

SupportingStandard(s):A.11.Ausepatternstogeneratethelawsofexponentsandapplytheminproblem-solvingsituations.

6th:Nov21,22(2days)

Ch:4/lessons4-5,4-6, Givendata,createscatterplotsbylabelingaxes,plottingpoints,anddescribinggeneraltrendsinthedata(A.2.D)Interpretscatterplotsandusetrendlinestomakepredictions(A.2.D)Determinepositive,negative,ornocorrelationfromscatterplotsandverbalsituations(A.2.D)Uselinearregressiontodeterminethelineofbestfit(A.2.D)

ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,inproblemsituations

7th:Nov27-Dec1(5days)

Ch4/lesson4-7Ch6/Lesson6-6

Usemultiplerepresentationsofthelineofbestfittomakepredictions(tabular,algebraic,graphical)(A.2.D)Graphthesolutiontolinearinequalitiesintwovariables(A.7.B)

SupportingStandard(s):A.4.Busethecommutative,associative,anddistributive

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

2ndQuarter(41Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)Writealinearinequalitytorepresentagraph(A.7.A)Determinewhetheranorderedpairisasolutionofaninequality(A.7.C)Writealinearinequalityforaproblemsituation(A.7.A)Interpretthesolutionofalinearinequalitywithinthecontextoftheproblemsituation(A.7.C)Determineifthesolutiontoalinearinequalityisreasonable(A.7.C)Transforminequalitiesfromoneformtoanother.(A.4.A)

propertiestosimplifyalgebraicexpressions

8th:Dec4-8(5days)

Review ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituationsA.1.Drepresentrelationshipsamongquantitiesusing[concrete]models.SupportingStandard(s):

9th:Dec11-15(5days)

Benchmark ReadinessStandard(s):A.1.Einterpretandmakedecisions,predictions,andcriticaljudgmentsfromfunctionalrelationshipsA.9.DanalyzegraphsofquadraticfunctionsanddrawconclusionsSupportingStandard(s):A.2.Aidentifyandsketchthegeneralformsoflinear(y=x)andquadratic(y=x2)parentfunctionsA.9.AdeterminethedomainandrangeforquadraticfunctionsingivensituationsA.9.Binvestigate,describe,andpredicttheeffectsofchangesinaonthegraphofy=ax²+cA.9.Cinvestigate,describe,andpredicttheeffectsof

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

2ndQuarter(41Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)changesinconthegraphofy=ax²+c

1st:Oct16-19(4days)

Ch:2&Ch:3/resourcematerials Determineifafunctionislinearfromgraphs,tables,orderedpairs,equations,andverbaldescription(A.5.A)Identifytheequationofthelinearparentfunction(A.2.A)Graphthelinearparentfunction(A.2.A)Usethepatternoffinitedifferencesinatableofvaluestodevelopthenumericalconceptofdeterminingslope–includeundefinedandzeroslope(A.6.A)Determinetherateofchangeinaproblemorproblemsituationbyfindingtheratioofthedifferenceofyanddifferenceofx(A.6.A)Statetherateofchange/slopeintermsoftheunitsusedintheproblemsituation(A.6.B)Relateandmakeconnectionsbetweentherateofchangeinapattern,tableofvalues,expression,and/orsituationtotheslopeofagraph(A.5.C)Makeconnectionsamongalgebraic,tabular,graphical,orverbaldescriptionsoflinearfunctions(A.5.C)Usetheslopeformulatofindslopegivenagraph,atable,ororderedpairs(A.6.A)

3rdQuarter(45Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)

1st:Jan3-5(3days)

Ch:6/Lessons6-1 Solvesystemsoflinearequations(includingsystemswithonesolution,infinitelymanysolutions,ornosolution)usinggraphing,elimination,substitution,andtables(A.8.B)

ReadinessStandard(s):A.8.Bsolvesystemsoflinearequationsusing[concrete]models,graphs,tables,andalgebraicmodels.

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

3rdQuarter(45Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)

Week1continued:Jan8-11

(4days)

Lessons6-2,6-3,6-4 Definevariablesforagivensituation(A.8.A)Formulatesystemsoflinearequationstosolveproblems(A.8.A)

SupportingStandard(s):A.8.Aanalyzesituationsandformulatesystemsoflinearequationsintwounknownstosolveproblems

2nd:Jan16-19(4days)

Lessons6-5,6-6

Relatethenumbersintheorderedpairthatisthesolutiontotheirmeaningintheproblemsituation(A.8.C)Determinethereasonablenessofsolutionsforproblemsituations(A.8.C)

A.8.Cinterpretanddeterminethereasonablenessofsolutionstosystemsoflinearequations.

3rd:Jan22-26(5days)

Ch:7/Lessons7-1,7-2 Evaluateexpressionscontainingzeroandintegerexponents(A.11.A)Useiteration,repeatedmultiplicationanddivision,tables,and/ormodelstogeneratelawsofexponents(A.11.A)Simplifyexpressionsusinglawsofexponentsincludingzeroandintegerexponents(A.11.A)

ReadinessStandard(s):

4th:Jan29-Feb2(5days)

Lessons7-3,7-4

Uselawsofexponentstofindareaandvolumegivendimensionsofafigure(A.11.A)Uselawsofexponentstofindamissingdimensiongivenareaorvolumeandoneormoreofthefigure’sdimensions(A.11.A)

SupportingStandard(s):A.11.Ausepatternstogeneratethelawsofexponentsandapplytheminproblem-solvingsituations.

5th:Feb5-9(5days)

Ch:8/Lessons8-1,8-2,8-3

Simplifypolynomialexpressions(A.4.A)Writepolynomialsinstandardform(A.4.A)Classifypolynomialsbydegreeandterm(A.4.A)Evaluatepolynomialexpressions(A.4.A)Add,subtract,andmultiplypolynomialswithalgebratilesandalgebraically(A.4.B)Findspecialproductsofpolynomialsincluding(a+b)²,(a–b)²,and(a+b)(a–b)(A.4.B)Applysimplifyingpolynomialexpressionsingeometric

ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,inproblemsituations

6th:Feb12-16(5days)

Lessons8-4,8-5,8-6

Applicationproblems(A.4.A)Findgreatestcommonfactorofmonomialscontainingvariablesandusewhenfactoringquadraticequations(A.4.A)ModelthefactorizationofquadraticsusingAlgebraTiles(A.1.D)

SupportingStandard(s):A.4.Busethecommutative,associative,anddistributivepropertiestosimplifyalgebraicexpressions

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

3rdQuarter(45Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)Factorquadraticswithaleadingcoefficientof1(A.4.A)Factorquadraticswithaleadingcoefficient≠1(A.4.A)Factorperfectsquaretrinomials(A.4.A)

7th:Feb20-23(4days)

Lessons8-7,8-8,8-9

Factordifferenceoftwosquares(A.4.A)Choosetheappropriatefactoringmethod(A.4.A)Relatefactoringtoareamodel(A.4.A)

ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituationsA.1.Drepresentrelationshipsamongquantitiesusing[concrete]models.SupportingStandard(s):

8th:Feb26-Mar2(5days)

Ch:9/Lesson9-1,9-2

Determinewhetherafunctionislinearorquadraticfromanequation,table,graph,concretemodel,and/orverbaldescription(A.1.E)Givenanequation,graphortable,identifytheappropriateparentfunction(linearorquadratic)(A.2.A)Graphquadraticfunctionsfromatableofvalues(A.1.E)Identifythevertex,minimumormaximum,x-andy-intercepts(A.1.E)Identifyandwritetheequationfortheaxisofsymmetry(A.9.D)Interpretthemeaningofthevertex,minimumormaximum,axisofsymmetry,x-andy-interceptsinproblemsituations(A.1.E)Nameandinterpretthemeaningofsolutions(intercepts,roots,zeros)(A.9.D)Determineappropriatedomainandrangefromgraph,table,equation,orverbalsituation(A.9.A)

ReadinessStandard(s):A.1.Einterpretandmakedecisions,predictions,andcriticaljudgmentsfromfunctionalrelationshipsA.9.DanalyzegraphsofquadraticfunctionsanddrawconclusionsSupportingStandard(s):A.2.Aidentifyandsketchthegeneralformsoflinear(y=x)andquadratic(y=x2)parentfunctionsA.9.AdeterminethedomainandrangeforquadraticfunctionsingivensituationsA.9.Binvestigate,describe,andpredicttheeffectsofchangesinaonthegraphofy=ax²+cA.9.Cinvestigate,describe,andpredicttheeffectsofchangesinconthegraphofy=ax²+c

9th:Mar5-9(5days)

Lessons9-3,9-4

Describeandpredicthowagraphwouldbetransformedbychangingthevaluesofa(A.9.B)Describeandpredicthowagraphwouldbetransformedbychangingthevaluesofc(A.9.C)Interpretandmakedecisionsgivenquadraticfunctions(A.1.E)

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

4thQuarter(47Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)

1st:Mar19-23(5days)

Ch:9/Lessons9-5,9-6 Solvequadraticsbygraphing(A.10.A)Findvaluesofxwhenthefunction≠0(A.10.A)Solvequadraticfunctionsintheformofax²+bx+cbyfactoringwithaequalornotequalto1(A.10.A)Understandhowthesolutionsobtainedfromthedifferentmethodsofsolvingquadraticequationsrelatetoeachother(A.10.B)Understandthatrootsandsolutionsareassociatedwithequationsandthatx-interceptsandzerosareassociatedwithgraphsandarerelatedinafunction(A.10.B)

ReadinessStandard(s):A.10.Asolvequadraticequationsusing[concrete]models,tables,graphs,andalgebraicmethods

2nd:Mar26-29(4days)

Lessons9-7,9-8

Solvequadraticequationsbyusingsquareroots(A.10.A)SolvequadraticequationsbyusingtheQuadraticFormula(A.10.A)Determinethenumberofsolutionsofaquadraticequationbyusingthediscriminant(A.10.A)Makeconnectionsbetweensolutionsobtainedbyusingsquareroots,QuadraticFormula,factoringandtables/graphs(A.10.B

SupportingStandard(s):A.10.Bmakeconnectionsamongthesolutions(roots)ofquadraticequations,thezerosoftheirrelatedfunctions,andthehorizontalintercepts(x-intercepts)ofthegraphofafunction

3rd:Apr2-6(5days)

Ch:7/Lessons7-5,7-6,7-7,7-8

Identifyandgraphexponentialfunctions(A.11.C)Evaluateexponentialfunctions(A.4.A)Identifydataasmodelingexponentialgrowthordecay(A.11.C)Givendata(linear,quadratic,exponential),beabletoplotthedata,makeatableofvalues,createamodel,writeanequationandinterprettherelationship(A.11.C)Identifytermsgivenageometricsequence(A.4.A)Findaformulaforthenthtermofageometricsequence(A.3.B)Identify,writeandgraphinversevariationandusetodetermineamissingcoordinate(A.11.B)

ReadinessStandard(s):A.4.Afindspecificfunctionvalues,simplifypolynomialexpressions,transformandsolveequations,andfactorasnecessaryinproblemsituationsSupportingStandard(s):A.3.BlookforpatternsandrepresentgeneralizationsalgebraicallyA.11.Banalyzedataandrepresentsituationsinvolvinginversevariationusing[concrete]models,tables,graphs,oralgebraicmethodsA.11.Canalyzedataandrepresentsituationsinvolvingexponentialgrowthanddecayusing[concrete]models,tables,graphs,oralgebraicmethods

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Scope&SequenceAlgebraI

DARUL ARQAM Revised5/2017

4thQuarter(47Days)

Resources:

Week Unit/Lesson LearningObjectives ReportingCategories(TEKSSEs)

4th:Apr9-13(5days)

Ch:4&7EOCReview Writetheequationofalineparalleltoagivenlinethroughagivenpoint(G.7.B)Writetheequationofalineperpendiculartoagivenlinethroughagivenpoint(G.7.B)Writeandsolvesystemsoflinearequationsembeddedinverticalangles(G.2.B)Writeandsolvesystemsoflinearequationsembeddedinangleandsiderelationshipsintrianglesandquadrilaterals(G.2.B)Writeandsolvequadraticequationsembeddedinverticalangles(G.2.B)Writeandsolvequadraticequationsembeddedinangleandsiderelationshipsintrianglesandquadrilaterals(G.2.B)Writeandsolvequadraticequationsgivenanumericareaandsidesexpressedasbinomials(G.2.B)

G.4.Aselectanappropriaterepresentation([concrete,]pictorial,graphical,verbal,orsymbolic)inordertosolveproblemsG.7.Auseone-andtwo-dimensionalcoordinatesystemstorepresentpoints,lines,rays,linesegments,andfiguresG.7.Buseslopesandequationsoflinestoinvestigategeometricrelationships,includingparallellines,perpendicularlines,andspecialsegmentsoftrianglesandotherpolygons

5th:Apr16-20(5days)

EOCReview

Individualizedreviewbasedonstudentneeds.

6th:April23-27(4days)

EOCReview

7th:Apr30-May4(5days)

EOCReview

8th:May7-11STAAR

(5days)

EOCExams

9th:May14-18(5days)

Ch:10/Lessons10-1,10-2,10-3,10-4

Graphandanalyzedilationsofradicalfunctions.Graphandanalyzereflectionsandtranslationsofradicalfunctions.Simplifyradicalexpressionsbyusingproductandquotientpropertyofsquareroots.Add,subtract,andmultiplyradicalexpressions.SolveRadicalequations.

StudentExpectations:Representsquareandsquarerootsusinggeometricmodels.Approximatethevaluesofirrationalnumbersastheyarisefromproblemsituations.Usedistributivepropertytosimplifyalgebraicexpressions.Solvequadraticequationsusingalgebraicmethods.

10th:May21-24(4days)

Graduation